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1 А А А А Ы А А, Ы Ы, ,, 32,,
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14 ,. 1. Structure and Properties of Particulate Filled Polymer Composites. The Fractal Analysis; G.V. Kozlov, Yu.G. Yanovsky, G.E. Zaikov, Nova Science Pblsh., Iuc. NY 2010, 288p. 2. Yanovsky Yu.G., Valiev H.H. Kornev Yu.V., Karnet Yu.N. etc., Scale Factor by Iuvestigations of Mechanical Properties of Composite Materials Filled with Nanosized Particles, International Journal of Nanomechanics, Science and Technology, 2010, V1 N3 pp
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38 . 1. Wang C.C., Wu S, Donnet J, Wang T Microdispertion of carbon black in rubber, part 1: quantitive aspects of AFM image analysis, Rubber Chem. Technol., 2006, V.79., pp ,..,.. :, ё Rusnanotech 09, 6 8,, 2009,
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42 1.., 2.. 1,. 2,.,.,. n a b ρ + = c; p = B 1. (1) t x ρ0 x, t - ; p, ρ - ; B = 304, 5, n = 7,15, ρ = / 3 ; a, b, c - -. T T 2, a = { ρ, ρu}, b = { ρu, ρu 2 + p}, c T = { N ρu x, N ρu 2 x}, u -. T 2 c = { ρu d[ ln( F( x) )] dx, ρu d[ ln( F( x) )] dx}, F ( x) -. (1),. :, ( ).,., du dt = p F m p dv dt + d p V γ 1 dt N t, γ - ( ) ( ) () g g g g =, N -. - (1),....,,,....,,... p p p p 42
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49 ..,. ё. c k(λ) * m : * τρ ρ p m = (1 + k( λ) c), λ = (1) 2 ρ τ -, ρ -, ρ p -.,, λ., [1] k (λ),.. λ = 0. [2]., k (λ) λ.., [3], ё λ. [3],..,.,. α = a / l (a -, l - ) ё, α.,, α., k (λ) (1). 49
50 , k (λ) [1,2]. 1. Wijngaarden van L. Hydrodynamic interaction between bubbles in liquid// J.Fluid Mech., 77 (1976), Felderhof U. Virtual mass and drag in two-phase flow// J.Fluid Mech., 225 (1991), ,..,... //. ( )
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76 ..,..,., : , 0,5-4 %, 0,5-2., [1],, [2-4]. 1. Bosheniatov B.V., Popov V.V. // Fluid Mechanics Soviet Research. - Vol , March - April, Pp Silberman E. // J. Acoustic Soc. Am V. 29. Pp //. :, ,.1, 2.:,
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95 5...,..,....: -., 2009, Yang K., Yang Q., Li G., Sun Y.S., Fend D. // Mater. Lett, 2006, v. 60, 7,
96 ..,..,..,..,..,..,., / ( - ),,,,. /, [1, 2].,, [1, 2]., [3, 4],,.,, [2].,, ( / ),,,, 0,01 10 % [2]. ё,., CVD Fe/Al 2 O 3 Co/Al 2 O 3 ( 2, 20 ).. 20,,. Fe/Al 2 O 3 Co/Al 2 O 3, 0,3 %.. ё,,.,. ( ), tg δ.,,,. 96
97 , (0,3 %.), CVD,.,,. 1...,..,.. - :, -, 2008, ,..,.. :, -.:, Shokrieh M. M., Rafiee R. A review of the mechanical properties of isolated carbon nanotubes and carbon nanotube composites Mechanics of composite materials 2010 Vol. 46, p Bokobza L., Rahmani M. arbon nanotubes: exceptional reinforcing fillers for silicone rubbers, Kautsch. und Gummi. Kunstst., 2009, 3, p
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105 ..,. t x=0 ( ) Γ 0 ё = x = 0 f ( ) (, ё f ( ) 0, 0 )., ё 0 h/2 (0 x 1/ 2) x=1/2 (( ) = 0), x x= 1/ 2, (t)>0, t 0. (t) f( ) d df ( 0, > 0) ( t) θ 0( t), dt d dθ 0 < 0 θ 0 t = 0 = 0 limθ = e, dt t 0 α 0 = + f ( ) 2 t=, α~h. 0 < θ 0 θ1 0, { θ n }, n=0,1, θ = max{ θ, A[ θ ]} θ 2k 2k + 1 = min{ θ A[ ] 0 2( k 1) 2k 1 W t 0, A[ θ 2k 1 2k ]}, k = 1,2,... W ( t τ ) dτ t 0 V ( t τ ) f ( ) dτ dw W ( t) > 0, V ( t) > 0, W > 0 t>0. dt θ t) θ +, i, j 0,1,..., 2 i ( 2 j 1 = ( f ( ) [0, 0 ] ) {θ n } (t) n. 105
106 -..,..,..,.,,,, ( )..,..,,.,.,, l ( ) ( ).,, ё ё ё., - (, ).. ё. ё,,,. 106
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109 .,.. -,.,. ( )..,.. 1. /......:, :. 2. Properties of Turbulence in Turbulent Diffusion Flame. Toshimi Takagi, Akira Ishio. Combastion and flame 40: (1981). 109
110 - (Ti+C) (Cr+B)..,..,, (Ti+C) (Cr+B). ; -., Thermo v LEO (Ti+C) (Cr+B).,.,,,,, TiC TiB 2 ; Cr 7 C 3 Cr 3 C 2., (Cr+B) %. 2 3 % HRA., : TiB 2, (Ti,Cr) x C y, (Cr,Ti) m C n., (Cr+B) %,.,.. 1, (Cr+B)., : ;.,. 110
111 (1) (2) TiB 2 (Ti,Cr) x C y TiB 2 (Cr,Ti) m C n (Ti,Cr) x C y (Cr,Ti) m C n. 1., 20 (1) 40% (2) (Cr+ ) 111
112 - (Ti+2B) (3Cr+2C)..,..,..,, (Ti+2B) (3Cr+2C). ; - ; ( - ), ( LEO 1450) -.,.,, TiB 2 Cr 3 C 2.. : TiC, Cr 3 C 2, CrB. -, (3Cr+2C) %., 98 99,5%.., : TiB 2, TiC, CrB., (3Cr+2C) %,.. 1, % (3Cr+2C)., (3Cr+2C) TiB 2 TiC µ, CrB µ.,. -,. 112
113 TiB 2 (1) (2) CrB TiC CrB TiC TiB. 1. ( (3Cr+2C) 10.% (1) 40.% (2)). 113
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119 ), ,..,.. - :..:, Avnir D., Farin D., Pfeifer P. Molecular fractal surfaces // Nature Vol.308, N5959. P
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122 , 1.., ( ),. 2,. -, -., ,..,.,. 1. Multiscale Methods in Science and Engineering (Lecture Notes in Computational Science and Engineering) / Bjorn Enqquist, Per Lotstedt, Olof Runborg. Springer; 1 edition (July 22, 2005). 289 p /..,..,..,..,....:.,
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